Three Baskets Contained 38, 42 And 59 Mangoes All Are Emptied. How Many Mangoes Are There Altogether? Also, Estimate The Sum

Lekh kumar
4 min readSep 13, 2021

In math, addition is a crucial concept. It’s something we utilise on a daily basis. Let’s look at what it means to add or subtract integers. You have a total sum of two or more numbers when you add two or more numbers together. Sum is a method of combining items. The sum is a mathematical operation that joins two or more integers to form a new total. You’ll need to add two or more numbers whenever you use words like “all together,” “put together,” “how many in all,” “total,” and “sum.” When two objects are put together, the plus symbol (+) is used.

Estimation in maths

A fair estimate of the actual value is used to make computations easier and more realistic. Approximating a quantity to the requisite precision is referred to as estimation. This is accomplished We use estimate in all of our daily tasks without even realising it. We usually make educated guesses about numbers to a certain degree of precision. To get as near to a full number as feasible, numbers are rounded to a certain place value.by rounding down the numbers in the computation and obtaining a quick and approximate result.

We must perform the following in all situations of rounding:

Locate the digit in the location where we want to round to.

To determine how to round, look at the digit to its right: If the digit to the right is 0–4 (i.e., 0, 1, 2, 3, 4), we ignore it (round down). If the digit to the right is 5–9 (i.e., 5, 6, 7, 8, 9), we add one to the digit (round up).

Finally, any excess digits that haven’t been rounded off are removed.

Estimating a Sum

Do you have any idea how predicting an amount might assist us? When we have to do an operation mentally, we frequently just require an estimate of the output rather than the actual result. An estimate of the total can also be useful after we have completed an operation on paper and want to verify that the amount we received is fair. Isn’t it quite practical? Let’s see how to estimate a total in a few simple steps.

How To Estimate A Sum To The Nearest Tenth

There are three steps to estimating a quantity to the tenth:

STEP 1: The summands are rounded to the closest tenth. Remember: We round down if the number ends in 0, 1, 2, 3, or 4. If the number ends in 5, 6, 7, 8, or 9, the estimate is rounded up.

STEP 2: We round the numbers and add them together.

STEP 3: The entire amount of rounding is examined. There are three possibilities: If we round one number up and one number down, the result is a correct estimate. We remove 10 from the estimate if both summands have been rounded up and the amount of rounding is more than 5. We add 10 to the estimate if both summands have been rounded down and the amount of rounding is higher than 5.

How To Estimate A Sum To The Nearest Hundred

We’ll follow the identical procedures, but with a few tweaks, to estimate a total to the closest hundredth:

STEP 1: The summands are rounded to the nearest hundredth.

STEP 2: We round the numbers and add them together.

STEP 3: When we look at the overall amount of rounding, we can see three things: The sum we get after rounding one value up and one value down is a correct estimate. We remove 100 from the estimate if both summands have been rounded up and the amount of rounding is more than 50. We must add 100 to the estimate if both summands have been rounded down and the amount of rounding is more than 50.

Problem At Hand

We know that there are three numbers here, representing the number of mangoes — 38 in one basket, 42 in another and 59 in the last. We need to find out 38 + 42 + 59 ≈ ?.

As we have seen in the steps above, the first thing to do is to round the summands. It can be given as 38 ≈ 40, 42 ≈ 40, and 59 ≈ 60. The second step is to add the rounded numbers, which will give us, 40 + 40 + 60 = 140. The final step is to look at the total amount of rounding, which will be 2 + 2 + 1 = 5, meaning our estimation is right, 38 + 42 + 59 ≈ 140.

If you want to learn more about estimation of sums, and other interesting topics, head on over to Doubtnut, for the best study material. You would also be able to find video tutorials that would serve to be quite helpful to you.

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